"I'd like to get them together," Handler, 35, told Seacrest. "We've never really seen them together since then. They were supposed to be together on SNL, but then that didn't end up happening."

Last year, Swift had no sooner won the best female video award when she was cut off during her acceptance speech by the rapper, who grabbed her microphone and announced that fellow nominee Beyoncé had "one of the greatest videos of all time," in for "Single Ladies (Put a Ring On It)." West later apologized. Profusely.

As Swift recalled after the big moment, "I was standing on stage and I was really excited because I'd just won the award and then I was really excited because Kanye West was on stage. And then I wasn't excited anymore after that."

Suggested Handler: "We'll try to think of something clever to do with them, because that would be really fun."